Question

2) To the nearest tenth, which choice is the length of AC?

A) 22
B) 6.8
C) 7.3
D) 8.2​

Answer 1

C) 7.3

Explanation:

Recall the Pythagoras Theorem.

`|AC|^2=|AB|^2+|BC|^2`

From the diagram ,|AB|=2 units and |BC|=7 units

We substitute into the formula to get:

`|AC|^2=2^2+7^2`

Simplify exponents

`|AC|^2=4+49`

Add

`|AC|^2=53`

`|AC| = √(53)`

`|AC| = 7.28`

To the nearest tenth, AC=7.3 units